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13124210304 = 273294012939
BaseRepresentation
bin11000011100100001…
…11000111010000000
31020212122111221222010
430032100320322000
5203334244212204
610010145212520
7643141642542
oct141620707200
936778457863
1013124210304
1156253024a7
122663331140
13131204111a
148c705d692
1551c2d9d89
hex30e438e80

13124210304 has 128 divisors (see below), whose sum is σ = 36165528000. Its totient is φ = 4211916800.

The previous prime is 13124210287. The next prime is 13124210311. The reversal of 13124210304 is 40301242131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131242103042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4464067 + ... + 4467005.

Almost surely, 213124210304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082764000).

13124210304 is an abundant number, since it is smaller than the sum of its proper divisors (23041317696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13124210304 is a wasteful number, since it uses less digits than its factorization.

13124210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13124210304 its reverse (40301242131), we get a palindrome (53425452435).

The spelling of 13124210304 in words is "thirteen billion, one hundred twenty-four million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 401 464 696 802 928 1203 1392 1604 1856 2406 2784 2939 3208 3712 4812 5568 5878 6416 8817 9624 11136 11629 11756 12832 17634 19248 23258 23512 25664 34887 35268 38496 46516 47024 51328 69774 70536 76992 85231 93032 94048 139548 141072 153984 170462 186064 188096 255693 279096 282144 340924 372128 376192 511386 558192 564288 681848 744256 1022772 1116384 1128576 1178539 1363696 1488512 2045544 2232768 2357078 2727392 3535617 4091088 4465536 4714156 5454784 7071234 8182176 9428312 10909568 14142468 16364352 18856624 28284936 32728704 34177631 37713248 56569872 68355262 75426496 102532893 113139744 136710524 150852992 205065786 226279488 273421048 410131572 452558976 546842096 820263144 1093684192 1640526288 2187368384 3281052576 4374736768 6562105152 13124210304